Origin of CSL enhancement beyond the large-N_c approximation

Investigate whether the enhancement of chiral soliton lattice formation produced by compensating magnetic and rotational fields is a genuine feature of QCD or an artifact of the large-$N_c$ approximation.

Background

The holographic bulk analysis finds that, when magnetic and rotational fields compete, counter-rotation can offset a magnetic field and enhance the region in which chiral soliton lattice phases are energetically favored. The effect is reported to be relatively small, and the analysis is performed in the large-NcN_c limit inherent to the Sakai–Sugimoto model.

The unresolved issue is whether this enhancement persists in the underlying finite-NcN_c QCD theory or instead results from the large-NcN_c approximation used in the holographic treatment. Resolving it would determine the physical robustness of the predicted enhancement.

References

Furthermore, because we are ostensibly working in the large-$N_c$ limit, it remains unclear whether this enhancement stems from the underlying QCD theory or is an artifact of the large-$N_c$ approximation.

— Chiral Soliton Lattices under Magnetic Fields and Rotation: a Holographic Analysis  (2608.16579 - Amano et al., 17 Aug 2026) in Section 4, subsection “Phase diagrams”